Identifying Models of the Octave Projective Plane |
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Authors: | Daniel Allcock |
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Institution: | (1) Dept. of Mathematics, University of California at Berkeley, Berkeley, CA, 94720, U.S.A. |
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Abstract: | We provide a convenient identification between two models of the projective plane over the alternative field of octaves: Aslaksen's coordinate approach and the classic approach via Jordan algebras. We do this by modifying a 1949 lemma of P. Jordan. |
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Keywords: | octaves Cayley numbers exceptional Jordan algebra projective planes |
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